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A Monte Carlo Study to Determine Sample Size for Multiple Comparison Procedures in ANOVA

Senteney, Michael H.
http://orcid.org/0000-0002-5869-6691
http://rave.ohiolink.edu/etdc/view?acc_num=ohiou160433478343909

Abstract Details

2020, Doctor of Philosophy (PhD), Ohio University, Educational Research and Evaluation (Education).
Researchers are often concerned with what sample sizes are necessary to achieve sufficient statistical power when designing their research studies. Sample sizes in such studies are often based on the omnibus test and do not necessarily provide sufficient statistical power for pairwise multiple comparisons commonly used to investigate statistically significant main effects. The purpose of this study was to conduct Monte Carlo simulations in order to investigate the appropriate sample sizes needed to achieve sufficient statistical power for numerous multiple comparison procedures (MCPs). An effect-of-most-interest approach was employed. Numerous test conditions for 3-, 4-, and 5-group one-way ANOVA designs were examined. Results show clear and consistent differences between sample sizes estimated based on the omnibus F test, t-tests, and MCPs. Comprehensive sample size tables are provided in the Appendix to this study. Analyses tables containing recommendations for sample size estimates are also provided in the results and discussion sections.
Gordon Brooks (Committee Chair)
Yuchun Zhou (Committee Member)
Anirudh Ruhil (Committee Member)
John Stowe (Committee Member)
Educational Evaluation; Statistics
One-way ANOVA; t-test; Multiple Comparison Procedures; Post-Hoc Tests; Sample Size Estimation; Statistical Power Analysis; Monte Carlo Simulation; Effect Size; Type I Error; Robust Tests

Recommended Citations

Citations

  • Senteney, M. H. (2020). A Monte Carlo Study to Determine Sample Size for Multiple Comparison Procedures in ANOVA [Doctoral dissertation, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou160433478343909

    APA Style (7th edition)

  • Senteney, Michael. A Monte Carlo Study to Determine Sample Size for Multiple Comparison Procedures in ANOVA. 2020. Ohio University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ohiou160433478343909.

    MLA Style (8th edition)

  • Senteney, Michael. "A Monte Carlo Study to Determine Sample Size for Multiple Comparison Procedures in ANOVA." Doctoral dissertation, Ohio University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou160433478343909

    Chicago Manual of Style (17th edition)

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This open access ETD is published by Ohio University and OhioLINK.
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